Properties of the Number 45416

Forty-Five Thousand Four Hundred Sixteen

Basics

Value: 45415 → 45416 → 45417

Parity: even

Prime: No

Previous Prime: 45413

Next Prime: 45427

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 7 × 811

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 811, 1622

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011000101101000

Octal: 130550

Duodecimal: 22348

Hexadecimal: b168

Square: 2062613056

Square Root: 213.11030007955975

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) = ∑_k=0..n (k+1) * binomial(2·k,2·n-2·k). A381421

E.g.f. exp( x² * exp(x) ). A216507

Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(0,k) = 1 and T(n,k) = (-1)^k+1 * k! * ∑_i=0..n-1 (-1)ⁱ * binomial(n-1,i) * binomial(i+1,k) * T(n-1-i,k) for n > 0. A292973

Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(0,k) = 1 and T(n,k) = k! * ∑_i=0..n-1 binomial(n-1,i) * binomial(i+1,k) * T(n-1-i,k) for n > 0. A292978

Least k such that primorial(n) divides binomial(2k,k). A267823

E.g.f.: exp(x² * exp(-x)). A292907

Number of nondecreasing -2..2 vectors of length n whose dot product with some other -2..2 vector equals n. A226334

Least term in period of continued fraction for sqrt(n) is 9. A31433

a(n) = binomial(n+3, 4) + binomial(n+1, 3) + 1. A368881

Primes congruent to {3, 5} mod 7. A45416